What is the Greatest Common Factor of 77235 and 77250?

Greatest common factor (GCF) of 77235 and 77250 is 15.

GCF(77235,77250) = 15

We will now calculate the prime factors of 77235 and 77250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77235 and 77250.

How to find the GCF of 77235 and 77250?

We will first find the prime factorization of 77235 and 77250. After we will calculate the factors of 77235 and 77250 and find the biggest common factor number .

Step-1: Prime Factorization of 77235

Prime factors of 77235 are 3, 5, 19, 271. Prime factorization of 77235 in exponential form is:

77235 = 3¹ × 5¹ × 19¹ × 271¹

Step-2: Prime Factorization of 77250

Prime factors of 77250 are 2, 3, 5, 103. Prime factorization of 77250 in exponential form is:

77250 = 2¹ × 3¹ × 5³ × 103¹

Step-3: Factors of 77235

List of positive integer factors of 77235 that divides 77235 without a remainder.

1, 3, 5, 15, 19, 57, 95, 271, 285, 813, 1355, 4065, 5149, 15447, 25745

Step-4: Factors of 77250

List of positive integer factors of 77250 that divides 77235 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 125, 150, 206, 250, 309, 375, 515, 618, 750, 1030, 1545, 2575, 3090, 5150, 7725, 12875, 15450, 25750, 38625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77235 and 77250. The biggest common factor number is the GCF number.
So the greatest common factor 77235 and 77250 is 15.

Also check out the Least Common Multiple of 77235 and 77250